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siniylev [52]
3 years ago
11

Pls give the answers

Mathematics
1 answer:
mars1129 [50]3 years ago
7 0

Answer:

Step-by-step explanation:

ohhh this is easyyy its

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Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = ln x, [1,7] choose one letter t
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ANSWER

B.Yes, f is continuous on [1, 7] and differentiable on (1, 7).

c\approx 3.08

EXPLANATION

The given

f(x) = ln(x)

The hypotheses are

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2. The function is differentiable on (1, 7).

3. There is a c, such that:

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This implies that;

\frac{1}{c} = \frac{ ln(7) - 0}{6}

\frac{1}{c} = \frac{ ln(7)}{6}

c = \frac{6}{ ln(7) }

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Since the function is continuous on [1, 7] and differentiable on (1, 7) it satisfies the mean value theorem.
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